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3 years ago

5y+1=1 Subtract 1 from both sides

Mathematics

1 answer:

maks197457 [2]3 years ago

4 0

Step-by-step explanation:

$5y + 1 = 1 \\ subtracting \: 1 \: from \: both \: sides \\ \red{ \boxed{ \bold{ 5y + 1 - 1 = 1 - 1}}} \\ 5y = 0 \\ y = 0$

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Use the substitution method to solve the given system of equations. Write your answer as an ordered pair, (x, y).

Gnoma [55]

Answer:

(-3, -2)

Step-by-step explanation:

Look at the second equation, we can easily rearrange it to make x the subject.

x - 4y = 5

x = 4y + 5

Now lets put that into the second equation

2x - 2y = -2

2(4y + 5) - 2y = -2

6y + 10 = -2

6y = -12

y = -2

Now lets find x!

x = 4y + 5

x = 4(-2) + 5

x = -3

Now lets format the answer like the question says (ordered pair)

(-3, -2)

Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.

3 0

3 years ago

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A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the

Musya8 [376]

The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

Seats filled by students are 570 seats

Which is 95% of the total number of seats in the theater

Step: 1

Let, x - Total number of seats available in theater

Percentage of seats filled, y= 95%

Seats filled by students = 570

Formula to calculate total number of seats in theater,

95% of seats $= \frac{95}{100}( x)$

570 = $0.95 (x)$

x = $\frac{570}{0.95}$

= 600

x = 600 seats

Step: 2

Check for solution,

5% of seats $= \frac{5}{100} (600)$

= (0.05 × 600)

= 30 seats

Total no. of seats = 5% of seats + 95% of seats

= 30 + 570

600 = 600

Result:

The total number of seats in the theater is 600 seats.

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3 years ago

if a pound of grapes cost $0.14 in 1960 and the price of grapes increased at the same rate as the CPI from 1960 to 1980 by appro

masya89 [10]

The CPI increased from 29.6 to 82.4.

The rate of increase, is:

82.4/29.6 = 2.78

Now multiply this rate to the $0.14 price of grapes from 1960.

$0.14 x 2.78 = $0.39

Now to get the amount of increase subtract the new price from the original price:

$0.39 - $0.14 = $0.25 increase.

5 0

3 years ago

State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,

GREYUIT [131]

Answer:

Substitution property of equality

Step-by-step explanation:

Given

$4x + 9 = 15$ and $x = 2y + 1$

Then

$4(2y + 1) + 9 = 15$

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If $a = b$ then $b = a$

In other words, both can replace one another.

So if $x = 2y + 1$ , then 2y + 1 can be substituted for x in $4x + 9 = 15$

So:

$4x + 9 = 15$ becomes

$4(2y + 1) + 9 = 15$

<em>Hence, it is substitution property of equality</em>

6 0

3 years ago

The simple interest on a sum of money is 25% of the principal and the number of year is equal to the rate percent per annum. Fin

olga_2 [115]

Answer:

si =25%*p

rate =term=t

from si= ptr/100

term = rate = 5

Step-by-step explanation:

3 0

3 years ago

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